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Finding the Third Proportional to 11,771 and 25,246

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Solution

The third proportional to 11,771 and 25,246 is: 54,146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771 : 25,246 = 25,246 : x
  2. Step 2: Convert to fraction form
    11,771/25,246 = 25,246/x
  3. Step 3: Cross multiply
    11,771x = 25,246 × 25,246
  4. Step 4: Simplify right side
    11,771x = 637,360,516
  5. Step 5: Solve for x
    x = 637,360,516/11,771
  6. Step 6: Final answer
    x = 54,146.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.